Jose Mourinho is thought to be in the hunt for a new left-back with Luke Shaw’s long-term future in doubt.
The England international has failed to cement himself a spot as a regular starter this term and the likes of Stoke and Crystal Palace are showing interest in him ahead of the summer transfer window.
And according to the Manchester Evening News, Mourinho has identified Alba as a suitable replacement should Shaw leave.
Alba is thought to have become unsettled under Luis Enrique this season having een left out of key games against Atletico Madrid in La Liga and Paris Saint-Germain in the Champions League.
The 28-year-old is under contract with the Catalan giants until 2020 but he is expected to make a decision on his future once he knows who will succeed Enrique at the end of the season.
They could also face competition from rivals Manchester City with Pep Guardiola a fan.